401004024 has 128 divisors (see below), whose sum is σ = 1094860800. Its totient is φ = 121927680.

The previous prime is 401004001. The next prime is 401004031. The reversal of 401004024 is 420400104.

It is a junction number, because it is equal to n+sod(n) for n = 401003994 and 401004012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3157449 + ... + 3157575.

It is an arithmetic number, because the mean of its divisors is an integer number (8553600).

Almost surely, 2^401004024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401004024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547430400).

401004024 is an abundant number, since it is smaller than the sum of its proper divisors (693856776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401004024 is a wasteful number, since it uses less digits than its factorization.

401004024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 401004024 is about 20025.0848687340. The cubic root of 401004024 is about 737.4222606558.

Adding to 401004024 its reverse (420400104), we get a palindrome (821404128).

The spelling of 401004024 in words is "four hundred one million, four thousand, twenty-four".